Simplify. \( 5 \sqrt{175} \) \( 5 \sqrt{175}=\square \) (Type an exact answer, using radicals as needed. Simplify your answer.)

To simplify \( 5 \sqrt{175} \), we start by breaking down \(\sqrt{175}\). We recognize that \(175 = 25 \times 7\), which allows us to simplify the square root: \[ \sqrt{175} = \sqrt{25 \times 7} = \sqrt{25} \times \sqrt{7} = 5\sqrt{7} \] Now, substituting this back into the expression gives us: \[ 5 \sqrt{175} = 5 \times 5\sqrt{7} = 25\sqrt{7} \] So, the simplified result is: \[ 5 \sqrt{175} = 25 \sqrt{7} \]